Simple tensor products

David Hernandez (1, 2)

1 DMA - Département de Mathématiques et Applications - ENS Paris
2 CMLS - Centre de Mathématiques Laurent Schwartz

Let F be the category of finite dimensional representations of an arbitrary quantum affine algebra. We prove that a tensor product $S_1\otimes ... \otimes S_N$ of simple objects of F is simple if and only if for any $i < j$, $S_i\otimes S_j$ is simple.

Domaines: Algèbres quantiques [math.QA]; Théorie des représentations [math.RT]

David Hernandez. Simple tensor products. Inventiones Mathematicae, 2010, 181 (3), pp.649-675. ⟨10.1007/s00222-010-0256-9⟩. ⟨hal-00406518⟩